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The only scale with this MOS pattern that's a really significant minimum of harmonic entropy is srutal/pajara, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is half of that (about a quartertone), so 3/2 is a period plus two generators; and hedgehog, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
Generator
Cents
Comments
0\2










0










1\24

50











2\46
52.17
Shrutar is around here








1\22


54.55








1\20



60







1\18




66.67






1\16





75





1\14






85.71






2\26





92.31
Injera is around here



1\12







100
L/s = 4




2\22






109.09
Srutal/Pajara is around here











600/(2+pi)



1\10








120
L/s = 3











600/(2+e)





3/28






128.57












600/(3+phi)




2/18







133.33


1\8









150
Boundary of propriety (generators
larger than this are proper)











600/(2+sqrt(3))




3\22







163.64
Hedgehog and echidna are both around here





8\58





165.52












600/(2+phi)
Golden hedgehog/echidna






13\94




165.96





5\36






166.67












600/(2+pi/2)



2\14








171.43
Optimum rank range (L/s=3/2)
1\6










200